What is the Least Common Multiple of 68620 and 68633?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 68620 and 68633 is 4709596460.
LCM(68620,68633) = 4709596460
Least Common Multiple of 68620 and 68633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68620 and 68633, than apply into the LCM equation.
GCF(68620,68633) = 1
LCM(68620,68633) = ( 68620 × 68633) / 1
LCM(68620,68633) = 4709596460 / 1
LCM(68620,68633) = 4709596460
Least Common Multiple (LCM) of 68620 and 68633 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68620 and 68633. First we will calculate the prime factors of 68620 and 68633.
Prime Factorization of 68620
Prime factors of 68620 are 2, 5, 47, 73. Prime factorization of 68620 in exponential form is:
68620 = 22 × 51 × 471 × 731
Prime Factorization of 68633
Prime factors of 68633 are 68633. Prime factorization of 68633 in exponential form is:
68633 = 686331
Now multiplying the highest exponent prime factors to calculate the LCM of 68620 and 68633.
LCM(68620,68633) = 22 × 51 × 471 × 731 × 686331
LCM(68620,68633) = 4709596460
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